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146897296 = 2473132971
BaseRepresentation
bin10001100000101…
…11100110010000
3101020102011012121
420300113212100
5300101203141
622324304024
73432415000
oct1060274620
9336364177
10146897296
1175a13127
1241242014
13245838a0
141571c000
15cd6a1d1
hex8c17990

146897296 has 160 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 55319040.

The previous prime is 146897293. The next prime is 146897321. The reversal of 146897296 is 692798641.

It is a happy number.

It is a super-2 number, since 2×1468972962 = 43157631144223232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (146897293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068941 + ... + 2069011.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2146897296 is an apocalyptic number.

146897296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146897296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

146897296 is an abundant number, since it is smaller than the sum of its proper divisors (228078704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146897296 is a wasteful number, since it uses less digits than its factorization.

146897296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 146897296 is about 12120.1194713584. The cubic root of 146897296 is about 527.6402699676.

The spelling of 146897296 in words is "one hundred forty-six million, eight hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 71 91 98 104 112 116 142 182 196 203 208 232 284 343 364 377 392 406 464 497 568 637 686 728 754 784 812 923 994 1136 1274 1372 1421 1456 1508 1624 1846 1988 2059 2548 2639 2744 2842 3016 3248 3479 3692 3976 4118 4459 5096 5278 5488 5684 6032 6461 6958 7384 7952 8236 8918 9947 10192 10556 11368 12922 13916 14413 14768 16472 17836 18473 19894 21112 22736 24353 25844 26767 27832 28826 32944 35672 36946 39788 42224 45227 48706 51688 53534 55664 57652 71344 73892 79576 90454 97412 100891 103376 107068 115304 129311 147784 159152 180908 187369 194824 201782 214136 230608 258622 295568 316589 361816 374738 389648 403564 428272 517244 633178 706237 723632 749476 807128 1034488 1266356 1311583 1412474 1498952 1614256 2068976 2532712 2623166 2824948 2997904 5065424 5246332 5649896 9181081 10492664 11299792 18362162 20985328 36724324 73448648 146897296